If your temps aren't too high, no.
I used to have VSync on with my 60hz monitor on Battlefield 4 and it would make my framerate drop everytime something big happened. As soon as I turned it off, it was always at a constant 55-60, even when there were explosions all over the place.
But sometimes turning it off makes the GPU work harder for nothing, increasing the temps (my buddy's 3-year-old GPU did that), but for the most part, if you don't think your GPU is heating up too much or it's not noisy, then I suggest you leave it off.
Running a Powercolor 7870 Myst Edition on mine, btw. i don't know if it matters.